The Molar Mass of Aluminum

Oct 13, 2025 by windailys.com 17 views

Understanding the Problem

Calculating the number of moles of aluminum oxide (Al2O3) present in a given mass of aluminum (Al) requires knowledge of the relative formula mass (M_r) of Al2O3 and the molar mass of aluminum. In this problem, we are given 25.5 g of aluminum and the relative formula mass of Al2O3 as 102. We need to find the number of moles of aluminum oxide present in this mass of aluminum.

The Molar Mass of Aluminum

The molar mass of aluminum (Al) is 26.98 g/mol. This value is essential for calculating the number of moles of aluminum present in the given mass.

Calculating Moles of Aluminum

To calculate the number of moles of aluminum present in 25.5 g of aluminum, we use the formula:

moles = mass / molar mass

Substituting the given values, we get:

moles = 25.5 g / 26.98 g/mol = 0.943 mol

The Relationship Between Aluminum and Aluminum Oxide

The molar mass of aluminum oxide (Al2O3) is 102 g/mol. Since aluminum oxide is composed of two aluminum atoms and three oxygen atoms, the molar mass of aluminum oxide is twice the molar mass of aluminum plus three times the molar mass of oxygen. However, for this problem, we are only concerned with the molar mass of aluminum oxide.

Calculating Moles of Aluminum Oxide

Since the molar mass of aluminum oxide is 102 g/mol, we can calculate the number of moles of aluminum oxide present in 25.5 g of aluminum by using the following formula:

moles = mass / molar mass

However, we need to consider the relationship between aluminum and aluminum oxide. The molar mass of aluminum oxide is twice the molar mass of aluminum, so we need to divide the number of moles of aluminum by 2 to get the number of moles of aluminum oxide.

moles = 0.943 mol / 2 = 0.4715 mol

Conclusion

In this problem, we calculated the number of moles of aluminum oxide present in 25.5 g of aluminum. We first calculated the number of moles of aluminum present in the given mass and then divided it by 2 to get the number of moles of aluminum oxide. The result is 0.4715 mol.

Calculating Moles of Aluminum Oxide from Aluminum Mass: Step-by-Step Solution

Step 1: Calculate the Number of Moles of Aluminum

mass of aluminum = 25.5 g
molar mass of aluminum = 26.98 g/mol
moles = mass / molar mass
moles = 25.5 g / 26.98 g/mol = 0.943 mol

Step 2: Calculate the Number of Moles of Aluminum Oxide

molar mass of aluminum oxide = 102 g/mol
moles = mass / molar mass
However, we need to consider the relationship between aluminum and aluminum oxide.
moles = 0.943 mol / 2 = 0.4715 mol

Step 3: Conclusion

The number of moles of aluminum oxide present in 25.5 g of aluminum is 0.4715 mol.

Calculating Moles of Aluminum Oxide from Aluminum Mass: Frequently Asked Questions

Q: What is the relative formula mass of aluminum oxide?

A: The relative formula mass of aluminum oxide (Al2O3) is 102.

Q: What is the molar mass of aluminum?

A: The molar mass of aluminum (Al) is 26.98 g/mol.

Q: How do I calculate the number of moles of aluminum oxide present in a given mass of aluminum?

A: To calculate the number of moles of aluminum oxide, you need to first calculate the number of moles of aluminum present in the given mass and then divide it by 2.

Q: What is the relationship between aluminum and aluminum oxide?

Frequently Asked Questions

Q: What is the relative formula mass of aluminum oxide?

A: The relative formula mass of aluminum oxide (Al2O3) is 102.

Q: What is the molar mass of aluminum?

A: The molar mass of aluminum (Al) is 26.98 g/mol.

Q: How do I calculate the number of moles of aluminum oxide present in a given mass of aluminum?

A: To calculate the number of moles of aluminum oxide, you need to first calculate the number of moles of aluminum present in the given mass and then divide it by 2.

Q: What is the relationship between aluminum and aluminum oxide?

A: The molar mass of aluminum oxide is twice the molar mass of aluminum.

Q: How do I calculate the number of moles of aluminum present in a given mass?

A: To calculate the number of moles of aluminum, you need to divide the given mass by the molar mass of aluminum.

Q: What is the formula for calculating the number of moles of a substance?

A: The formula for calculating the number of moles of a substance is:

moles = mass / molar mass

Q: What is the difference between the relative formula mass and the molar mass?

A: The relative formula mass is the sum of the atomic masses of the atoms in a molecule, while the molar mass is the mass of one mole of a substance.

Q: How do I convert the number of moles of aluminum to the number of moles of aluminum oxide?

A: To convert the number of moles of aluminum to the number of moles of aluminum oxide, you need to divide the number of moles of aluminum by 2.

Q: What is the significance of the molar mass of aluminum oxide?

A: The molar mass of aluminum oxide is used to calculate the number of moles of aluminum oxide present in a given mass of aluminum.

Q: How do I calculate the mass of aluminum oxide present in a given number of moles?

A: To calculate the mass of aluminum oxide present in a given number of moles, you need to multiply the number of moles by the molar mass of aluminum oxide.

Q: What is the relationship between the number of moles of aluminum and the number of moles of aluminum oxide?

A: The number of moles of aluminum oxide is half the number of moles of aluminum.

Q: How do I calculate the mass of aluminum present in a given number of moles?

A: To calculate the mass of aluminum present in a given number of moles, you need to multiply the number of moles by the molar mass of aluminum.

Q: What is the significance of the molar mass of aluminum?

A: The molar mass of aluminum is used to calculate the number of moles of aluminum present in a given mass.

Q: How do I calculate the number of moles of aluminum oxide present in a given mass of aluminum oxide?

A: To calculate the number of moles of aluminum oxide present in a given mass of aluminum oxide, you need to divide the given mass by the molar mass of aluminum oxide.

Q: What is the relationship between the mass of aluminum and the mass of aluminum oxide?

A: The mass of aluminum oxide is twice the mass of aluminum.

Q: How do I calculate the mass of aluminum present in a given number of moles of aluminum oxide?

A: To calculate the mass of aluminum present in a given number of moles of aluminum oxide, you need to multiply the number of moles by the molar mass of aluminum and then divide by 2.

Q: What is the significance of the relative formula mass of aluminum oxide?

A: The relative formula mass of aluminum oxide is used to calculate the number of moles of aluminum oxide present in a given mass of aluminum.

Q: How do I calculate the number of moles of aluminum oxide present in a given mass of aluminum oxide?

A: To calculate the number of moles of aluminum oxide present in a given mass of aluminum oxide, you need to divide the given mass by the molar mass of aluminum oxide.

Q: What is the relationship between the number of moles of aluminum oxide and the number of moles of aluminum?

A: The number of moles of aluminum oxide is half the number of moles of aluminum.

Q: How do I calculate the mass of aluminum oxide present in a given number of moles of aluminum?

A: To calculate the mass of aluminum oxide present in a given number of moles of aluminum, you need to multiply the number of moles by the molar mass of aluminum oxide and then divide by 2.

Q: What is the significance of the molar mass of aluminum oxide?

A: The molar mass of aluminum oxide is used to calculate the number of moles of aluminum oxide present in a given mass of aluminum.

Q: How do I calculate the number of moles of aluminum present in a given mass of aluminum oxide?

A: To calculate the number of moles of aluminum present in a given mass of aluminum oxide, you need to divide the given mass by the molar mass of aluminum and then multiply by 2.

Q: What is the relationship between the mass of aluminum oxide and the mass of aluminum?

A: The mass of aluminum oxide is twice the mass of aluminum.

Q: How do I calculate the mass of aluminum present in a given number of moles of aluminum oxide?

A: To calculate the mass of aluminum present in a given number of moles of aluminum oxide, you need to multiply the number of moles by the molar mass of aluminum and then divide by 2.

Q: What is the significance of the relative formula mass of aluminum?

A: The relative formula mass of aluminum is used to calculate the number of moles of aluminum present in a given mass.

Q: How do I calculate the number of moles of aluminum oxide present in a given mass of aluminum?

A: To calculate the number of moles of aluminum oxide present in a given mass of aluminum, you need to divide the given mass by the molar mass of aluminum and then multiply by 2.

Q: What is the relationship between the number of moles of aluminum and the number of moles of aluminum oxide?

A: The number of moles of aluminum oxide is half the number of moles of aluminum.

Q: How do I calculate the mass of aluminum oxide present in a given number of moles of aluminum?

A: To calculate the mass of aluminum oxide present in a given number of moles of aluminum, you need to multiply the number of moles by the molar mass of aluminum oxide and then divide by 2.

Q: What is the significance of the molar mass of aluminum oxide?

A: The molar mass of aluminum oxide is used to calculate the number of moles of aluminum oxide present in a given mass of aluminum.

Q: How do I calculate the number of moles of aluminum present in a given mass of aluminum oxide?

A: To calculate the number of moles of aluminum present in a given mass of aluminum oxide, you need to divide the given mass by the molar mass of aluminum and then multiply by 2.

Q: What is the relationship between the mass of aluminum oxide and the mass of aluminum?

A: The mass of aluminum oxide is twice the mass of aluminum.

Q: How do I calculate the mass of aluminum present in a given number of moles of aluminum oxide?

A: To calculate the mass of aluminum present in a given number of moles of aluminum oxide, you need to multiply the number of moles by the molar mass of aluminum and then divide by 2.

Q: What is the significance of the relative formula mass of aluminum?

A: The relative formula mass of aluminum is used to calculate the number of moles of aluminum present in a given mass.

Q: How do I calculate the number of moles of aluminum oxide present in a given mass of aluminum?

A: To calculate the number of moles of aluminum oxide present in a given mass of aluminum, you need to divide the given mass by the molar mass of aluminum and then multiply by 2.

Q: What is the relationship between the number of moles of aluminum and the number of moles of aluminum oxide?

A: The number of moles of aluminum oxide is half the number of moles of aluminum.

Q: How do I calculate the mass of aluminum oxide present in a given number of moles of aluminum?

A: To calculate the mass of aluminum oxide present in a given number of moles of aluminum, you need to multiply the number of moles by the molar mass of aluminum oxide and then divide by 2.

Q: What is the significance of the molar mass of aluminum oxide?

A: The molar mass of aluminum oxide is used to calculate the number of moles of aluminum oxide present in a given mass of aluminum.

Q: How do I calculate the number of moles of aluminum present in a given mass of aluminum oxide?

A: To calculate the number of moles of aluminum present in a given mass of aluminum oxide, you need to divide the given mass by the molar mass of aluminum and then multiply by 2.

Q: What is the relationship between the mass of aluminum oxide and the mass of aluminum?

A: The mass of aluminum oxide is twice the mass of aluminum.

Q: How do I calculate the mass of aluminum present in a given number of moles of aluminum oxide?

A: To calculate the mass of aluminum present in a given number of moles of aluminum oxide, you need to multiply the number of moles by the